One number exceeds another by 15. The sum of the numbers is 51. What are these numbers

Discussion in 'Calculator Requests' started by math_celebrity, Jun 25, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    One number exceeds another by 15. The sum of the numbers is 51. What are these numbers?

    Let the first number be x, and the second number be y. We're given two equations:
    1. x = y + 15
    2. x + y = 51
    Plug (1) into (2)
    (y + 15) + y = 51

    Combine like terms:
    2y + 15 = 51

    Plug this equation into the search engine and we get:
    y = 18

    Now plug this into (1) to get:
    x = 18 + 15
    x = 33
     

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